Triangular systems of probability measures on simply connected nilpotent and discrete subgroups of exponential Lie groups

Details

Serval ID
serval:BIB_DCC16262633B
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Triangular systems of probability measures on simply connected nilpotent and discrete subgroups of exponential Lie groups
Journal
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics
Author(s)
Neuenschwander D.
ISSN
0764-4442
Publication state
Published
Issued date
12/2001
Peer-reviewed
Oui
Volume
333
Number
11
Pages
1029-1034
Language
english
Abstract
For simply connected nilpotent Lie groups G, we show that limit laws of infinitesimal triangular systems Delta of symmetric probability measures on G are infinitely divisible even if Delta is not commutative. The same holds also if the measures of Delta are supported by some fixed discrete subgroup Gamma subset of G. Furthermore, we give a weakening of Wehn's conditions for the accompanying laws theorem in the case of discrete subgroups of exponential Lie groups.
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Create date
20/07/2017 10:39
Last modification date
21/08/2019 5:16
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